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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.16 No.4

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TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2009, v.16 no.4, pp.417-425
Hong, Seong-Kowan
Hong,, S. (2009). TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ. , 16(4), 417-425.

Abstract

In this paper we show that spheres in <TEX>$E^3{\subset}L^n$</TEX> and pseudohyperbolic spaces in <TEX>$L^3{\subset}L^n$</TEX> are the only totally umbilic spacelike surfaces of type (I) in <TEX>$L^n$</TEX>.

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Reference

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Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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